From a383e6c623ea4b6dd9bcea5b384efcb02ea8c32e Mon Sep 17 00:00:00 2001
From: "weiye.wang" <kj_wangweiye@126.com>
Date: Sun, 18 Dec 2022 15:32:07 +0800
Subject: [PATCH] 20221218 afternoon

---
 工具/寻找tex文件中未赋答案的题目.ipynb | 577 +------------------------
 工具/批量添加题库字段数据.ipynb        |  65 ++-
 工具/文本文件/metadata.txt             | 150 +++++--
 工具/题号选题pdf生成.ipynb             |   8 +-
 题库0.3/Problems.json                  | 306 ++++++-------
 5 files changed, 310 insertions(+), 796 deletions(-)

diff --git a/工具/寻找tex文件中未赋答案的题目.ipynb b/工具/寻找tex文件中未赋答案的题目.ipynb
index 0ebec0ea..938d9108 100644
--- a/工具/寻找tex文件中未赋答案的题目.ipynb
+++ b/工具/寻找tex文件中未赋答案的题目.ipynb
@@ -2,7 +2,7 @@
  "cells": [
   {
    "cell_type": "code",
-   "execution_count": 3,
+   "execution_count": 4,
    "metadata": {},
    "outputs": [
     {
@@ -24,60 +24,6 @@
       "测验10.tex\n",
       "测验11.tex\n",
       "测验12.tex\n",
-      "012245\n",
-      "\n",
-      "\n",
-      "012246\n",
-      "\n",
-      "\n",
-      "012247\n",
-      "\n",
-      "\n",
-      "012248\n",
-      "\n",
-      "\n",
-      "012249\n",
-      "\n",
-      "\n",
-      "012251\n",
-      "\n",
-      "\n",
-      "012252\n",
-      "\n",
-      "\n",
-      "012254\n",
-      "\n",
-      "\n",
-      "012255\n",
-      "\n",
-      "\n",
-      "012256\n",
-      "\n",
-      "\n",
-      "012257\n",
-      "\n",
-      "\n",
-      "012258\n",
-      "\n",
-      "\n",
-      "012259\n",
-      "\n",
-      "\n",
-      "012260\n",
-      "\n",
-      "\n",
-      "012261\n",
-      "\n",
-      "\n",
-      "012262\n",
-      "\n",
-      "\n",
-      "012263\n",
-      "\n",
-      "\n",
-      "030502\n",
-      "\n",
-      "\n",
       "线上测验01.tex\n",
       "周末卷01.tex\n",
       "周末卷02.tex\n",
@@ -155,69 +101,6 @@
       "周末卷10.tex\n",
       "周末卷11.tex\n",
       "周末卷12.tex\n",
-      "012161\n",
-      "\n",
-      "\n",
-      "012162\n",
-      "\n",
-      "\n",
-      "012163\n",
-      "\n",
-      "\n",
-      "012164\n",
-      "\n",
-      "\n",
-      "012165\n",
-      "\n",
-      "\n",
-      "012166\n",
-      "\n",
-      "\n",
-      "012167\n",
-      "\n",
-      "\n",
-      "012168\n",
-      "\n",
-      "\n",
-      "012169\n",
-      "\n",
-      "\n",
-      "012170\n",
-      "\n",
-      "\n",
-      "012171\n",
-      "\n",
-      "\n",
-      "012172\n",
-      "\n",
-      "\n",
-      "012173\n",
-      "\n",
-      "\n",
-      "012174\n",
-      "\n",
-      "\n",
-      "012175\n",
-      "\n",
-      "\n",
-      "012176\n",
-      "\n",
-      "\n",
-      "012177\n",
-      "\n",
-      "\n",
-      "012178\n",
-      "\n",
-      "\n",
-      "012179\n",
-      "\n",
-      "\n",
-      "012180\n",
-      "\n",
-      "\n",
-      "012181\n",
-      "\n",
-      "\n",
       "国庆卷.tex\n",
       "01_集合.tex\n",
       "02_常用逻辑用语.tex\n",
@@ -272,473 +155,17 @@
       "赋能11.tex\n",
       "赋能12.tex\n",
       "2017届上海春季高考.tex\n",
-      "012161\n",
-      "\n",
-      "\n",
-      "012162\n",
-      "\n",
-      "\n",
-      "012163\n",
-      "\n",
-      "\n",
-      "012164\n",
-      "\n",
-      "\n",
-      "012165\n",
-      "\n",
-      "\n",
-      "012166\n",
-      "\n",
-      "\n",
-      "012167\n",
-      "\n",
-      "\n",
-      "012168\n",
-      "\n",
-      "\n",
-      "012169\n",
-      "\n",
-      "\n",
-      "012170\n",
-      "\n",
-      "\n",
-      "012171\n",
-      "\n",
-      "\n",
-      "012172\n",
-      "\n",
-      "\n",
-      "012173\n",
-      "\n",
-      "\n",
-      "012174\n",
-      "\n",
-      "\n",
-      "012175\n",
-      "\n",
-      "\n",
-      "012176\n",
-      "\n",
-      "\n",
-      "012177\n",
-      "\n",
-      "\n",
-      "012178\n",
-      "\n",
-      "\n",
-      "012179\n",
-      "\n",
-      "\n",
-      "012180\n",
-      "\n",
-      "\n",
-      "012181\n",
-      "\n",
-      "\n",
       "2018届上海春季高考.tex\n",
       "2019届上海春季高考.tex\n",
-      "012204\n",
-      "\n",
-      "\n",
-      "012206\n",
-      "\n",
-      "\n",
-      "012221\n",
-      "\n",
-      "\n",
-      "012222\n",
-      "\n",
-      "\n",
-      "012223\n",
-      "\n",
-      "\n",
       "2020届上海春季高考.tex\n",
-      "012224\n",
-      "\n",
-      "\n",
-      "012225\n",
-      "\n",
-      "\n",
-      "012226\n",
-      "\n",
-      "\n",
-      "012227\n",
-      "\n",
-      "\n",
-      "012228\n",
-      "\n",
-      "\n",
-      "012229\n",
-      "\n",
-      "\n",
-      "012230\n",
-      "\n",
-      "\n",
-      "012231\n",
-      "\n",
-      "\n",
-      "012232\n",
-      "\n",
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-      "012233\n",
-      "\n",
-      "\n",
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-      "\n",
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-      "012237\n",
-      "\n",
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-      "012238\n",
-      "\n",
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-      "012239\n",
-      "\n",
-      "\n",
-      "012240\n",
-      "\n",
-      "\n",
-      "012241\n",
-      "\n",
-      "\n",
-      "012242\n",
-      "\n",
-      "\n",
-      "012243\n",
-      "\n",
-      "\n",
-      "012244\n",
-      "\n",
-      "\n",
       "2021届上海春季高考.tex\n",
-      "012245\n",
-      "\n",
-      "\n",
-      "012246\n",
-      "\n",
-      "\n",
-      "012247\n",
-      "\n",
-      "\n",
-      "012248\n",
-      "\n",
-      "\n",
-      "012249\n",
-      "\n",
-      "\n",
-      "012250\n",
-      "\n",
-      "\n",
-      "012251\n",
-      "\n",
-      "\n",
-      "012252\n",
-      "\n",
-      "\n",
-      "012253\n",
-      "\n",
-      "\n",
-      "012254\n",
-      "\n",
-      "\n",
-      "012255\n",
-      "\n",
-      "\n",
-      "012256\n",
-      "\n",
-      "\n",
-      "012257\n",
-      "\n",
-      "\n",
-      "012258\n",
-      "\n",
-      "\n",
-      "012259\n",
-      "\n",
-      "\n",
-      "012260\n",
-      "\n",
-      "\n",
-      "012261\n",
-      "\n",
-      "\n",
-      "012262\n",
-      "\n",
-      "\n",
-      "012263\n",
-      "\n",
-      "\n",
-      "012264\n",
-      "\n",
-      "\n",
-      "012265\n",
-      "\n",
-      "\n",
       "2022届上海春季高考.tex\n",
-      "012266\n",
-      "\n",
-      "\n",
-      "012267\n",
-      "\n",
-      "\n",
-      "012268\n",
-      "\n",
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-      "012269\n",
-      "\n",
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-      "012270\n",
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-      "012271\n",
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-      "\n",
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-      "\n",
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-      "\n",
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-      "\n",
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-      "\n",
-      "\n",
-      "012285\n",
-      "\n",
-      "\n",
-      "012286\n",
-      "\n",
-      "\n",
       "2023届嘉定区一模.tex\n",
-      "012571\n",
-      "\n",
-      "\n",
-      "012572\n",
-      "\n",
-      "\n",
-      "012573\n",
-      "\n",
-      "\n",
-      "012574\n",
-      "\n",
-      "\n",
-      "012575\n",
-      "\n",
-      "\n",
-      "012576\n",
-      "\n",
-      "\n",
-      "012577\n",
-      "\n",
-      "\n",
-      "012578\n",
-      "\n",
-      "\n",
-      "012579\n",
-      "\n",
-      "\n",
-      "012580\n",
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-      "\n",
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-      "\n",
-      "\n",
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-      "\n",
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-      "012584\n",
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-      "\n",
-      "012585\n",
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-      "\n",
-      "012586\n",
-      "\n",
-      "\n",
-      "012587\n",
-      "\n",
-      "\n",
-      "012588\n",
-      "\n",
-      "\n",
-      "012589\n",
-      "\n",
-      "\n",
-      "012590\n",
-      "\n",
-      "\n",
-      "012591\n",
-      "\n",
-      "\n",
       "2023届崇明区一模.tex\n",
       "2023届杨浦区一模.tex\n",
       "2023届松江区一模.tex\n",
       "2023届长宁区一模.tex\n",
-      "012613\n",
-      "\n",
-      "\n",
-      "012614\n",
-      "\n",
-      "\n",
-      "012615\n",
-      "\n",
-      "\n",
-      "012616\n",
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-      "\n",
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-      "012632\n",
-      "\n",
-      "\n",
-      "012633\n",
-      "\n",
-      "\n",
-      "2023届闵行区一模.tex\n",
-      "012550\n",
-      "\n",
-      "\n",
-      "012551\n",
-      "\n",
-      "\n",
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-      "\n",
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-      "012565\n",
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-      "\n",
-      "012566\n",
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-      "\n",
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-      "\n",
-      "\n",
-      "012569\n",
-      "\n",
-      "\n",
-      "012570\n",
-      "\n",
-      "\n"
+      "2023届闵行区一模.tex\n"
      ]
     }
    ],
diff --git a/工具/批量添加题库字段数据.ipynb b/工具/批量添加题库字段数据.ipynb
index bc7b2d5b..3ff69002 100644
--- a/工具/批量添加题库字段数据.ipynb
+++ b/工具/批量添加题库字段数据.ipynb
@@ -2,34 +2,55 @@
  "cells": [
   {
    "cell_type": "code",
-   "execution_count": 1,
+   "execution_count": 5,
    "metadata": {},
    "outputs": [
     {
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "题号: 012487 , 字段: ans 中已修改数据: 真\n",
-      "题号: 012488 , 字段: ans 中已修改数据: $[0,1]$\n",
-      "题号: 012489 , 字段: ans 中已修改数据: $6$\n",
-      "题号: 012490 , 字段: ans 中已修改数据: $\\dfrac\\pi 6$或$\\dfrac{5\\pi}6$\n",
-      "题号: 012491 , 字段: ans 中已修改数据: $2$\n",
-      "题号: 012492 , 字段: ans 中已修改数据: $(3,0)$\n",
-      "题号: 012493 , 字段: ans 中已修改数据: $12$\n",
-      "题号: 012494 , 字段: ans 中已修改数据: $\\dfrac 54$或$\\dfrac 53$\n",
-      "题号: 012495 , 字段: ans 中已修改数据: $4+2\\sqrt{3}$\n",
-      "题号: 012496 , 字段: ans 中已修改数据: $243$\n",
-      "题号: 012497 , 字段: ans 中已修改数据: $2018$\n",
-      "题号: 012498 , 字段: ans 中已修改数据: $(-\\dfrac 34,0)$\n",
-      "题号: 012499 , 字段: ans 中已修改数据: C\n",
-      "题号: 012500 , 字段: ans 中已修改数据: D\n",
-      "题号: 012501 , 字段: ans 中已修改数据: A\n",
-      "题号: 012502 , 字段: ans 中已修改数据: B\n",
-      "题号: 012503 , 字段: ans 中已修改数据: (1) $\\dfrac{2\\pi}3$; (2) $\\sqrt{3}$\n",
-      "题号: 012504 , 字段: ans 中已修改数据: (1) $4\\sqrt{2}\\pi$; (2) 证明略, 角的大小为$\\arccos\\dfrac{7\\sqrt{5}}{20}$\n",
-      "题号: 012505 , 字段: ans 中已修改数据: (1) $1965$万元; (2) $22.5$万台; (3) 产量均为$30$万台, 利润分别为$840$万元与$860$万元\n",
-      "题号: 012506 , 字段: ans 中已修改数据: (1) $2\\sqrt{2}+2$; (2) $\\pm \\dfrac{\\sqrt{14}}2$; (3) $\\sqrt{2}$或$\\sqrt{3}$或$\\sqrt{\\dfrac{1+\\sqrt{17}}2}$\n",
-      "题号: 012507 , 字段: ans 中已修改数据: (1) $[-\\dfrac{\\sqrt[3]{2}}2,+\\infty)$; (2) $(-2,-1)$; (3) $a=-2$\n"
+      "题号: 012613 , 字段: ans 中已有该数据: $\\{2,4\\}$\n",
+      "题号: 012614 , 字段: ans 中已有该数据: $(1,2)$\n",
+      "题号: 012615 , 字段: ans 中已有该数据: $\\dfrac{\\sqrt{2}}2$\n",
+      "题号: 012616 , 字段: ans 中已有该数据: $3$\n",
+      "题号: 012617 , 字段: ans 中已有该数据: $3$\n",
+      "题号: 012618 , 字段: ans 中已有该数据: \\textcircled{1}\\textcircled{4}\n",
+      "题号: 012619 , 字段: ans 中已有该数据: $180$\n",
+      "题号: 012620 , 字段: ans 中已有该数据: $4$\n",
+      "题号: 012621 , 字段: ans 中已有该数据: $\\dfrac 52$\n",
+      "题号: 012622 , 字段: ans 中已有该数据: $\\dfrac\\pi 4$\n",
+      "题号: 012623 , 字段: ans 中已有该数据: $\\dfrac{8\\sqrt{2}\\pi}3$\n",
+      "题号: 012624 , 字段: ans 中已有该数据: $\\dfrac{8\\sqrt{3}}3$\n",
+      "题号: 012625 , 字段: ans 中已有该数据: A\n",
+      "题号: 012626 , 字段: ans 中已有该数据: C\n",
+      "题号: 012627 , 字段: ans 中已有该数据: D\n",
+      "题号: 012628 , 字段: ans 中已有该数据: C\n",
+      "题号: 012629 , 字段: ans 中已有该数据: (1) $b_n=3^{n-1}$; (2) $-8$\n",
+      "题号: 012630 , 字段: ans 中已有该数据: (1) $\\dfrac \\pi 4$; (2) $1$\n",
+      "题号: 012631 , 字段: ans 中已有该数据: (1) 证明略; (2) 证明略; (3) $\\dfrac\\pi 4$\n",
+      "题号: 012632 , 字段: ans 中已有该数据: (1) $\\sqrt{2}$; (2) $y=x+1$; (3) 过定点$(-3,0)$和$(1,0)$\n",
+      "题号: 012633 , 字段: ans 中已有该数据: (1) $y=x-1$; (2) 单调减区间为$(\\dfrac 12 1)$; 极小值为$-2$; (3) 证明略\n",
+      "题号: 012571 , 字段: ans 中已修改数据: $\\{1\\}$\n",
+      "题号: 012572 , 字段: ans 中已修改数据: $-1$\n",
+      "题号: 012573 , 字段: ans 中已修改数据: $\\dfrac\\pi 6$\n",
+      "题号: 012574 , 字段: ans 中已修改数据: $2$\n",
+      "题号: 012575 , 字段: ans 中已修改数据: $16\\pi$\n",
+      "题号: 012576 , 字段: ans 中已修改数据: $2800$, $31$\n",
+      "题号: 012577 , 字段: ans 中已修改数据: $2$\n",
+      "题号: 012578 , 字段: ans 中已修改数据: $(-\\infty,1)\\cup (1,3]$\n",
+      "题号: 012579 , 字段: ans 中已修改数据: $5$\n",
+      "题号: 012580 , 字段: ans 中已修改数据: $[\\dfrac 32,2]$\n",
+      "题号: 012581 , 字段: ans 中已修改数据: $(\\dfrac 72,0,\\dfrac 72)$\n",
+      "题号: 012582 , 字段: ans 中已修改数据: $\\dfrac{\\sqrt{3}}{20}v$\n",
+      "题号: 012583 , 字段: ans 中已修改数据: A\n",
+      "题号: 012584 , 字段: ans 中已修改数据: D\n",
+      "题号: 012585 , 字段: ans 中已修改数据: C\n",
+      "题号: 012586 , 字段: ans 中已修改数据: C\n",
+      "题号: 012587 , 字段: ans 中已修改数据: (1) 证明略; (2) $\\dfrac{3\\sqrt{22}}{11}$\n",
+      "题号: 012588 , 字段: ans 中已修改数据: (1) $\\dfrac 12$; (2) $a_n=\\dfrac{18}{2n+1}$\n",
+      "题号: 012589 , 字段: ans 中已修改数据: (1) 例如: 非通勤时段的车辆使用情况; 油价和电价的变化; 工作单位能否提供免费充电; 电动车的国家减免政策的变化; 车辆的外观、内饰与品牌效应; 车牌费用等; (2) 解答略\n",
+      "题号: 012590 , 字段: ans 中已修改数据: (1) $\\dfrac{x^2}4+\\dfrac{y^2}3=1$($y\\le 0$); (2) $P(-\\dfrac 32,\\dfrac{\\sqrt{3}}2)$, $Q(\\dfrac 32, \\dfrac{\\sqrt{3}}2)$; (3) $[\\sqrt{3}-1,\\sqrt{2}+1]$\n",
+      "题号: 012591 , 字段: ans 中已修改数据: (1) 导数为$y'=\\dfrac{1-\\ln x}{x^2}$, 单调性证明略; (2) 判断$89^{99}>99^{89}$, 证明略, 推广可以是:``对于实数$a,b$, 若$\\mathrm{e}<a<b$, 则$a^b>b^a$; (3) 证明略\n"
      ]
     }
    ],
diff --git a/工具/文本文件/metadata.txt b/工具/文本文件/metadata.txt
index 763922ed..71a34381 100644
--- a/工具/文本文件/metadata.txt
+++ b/工具/文本文件/metadata.txt
@@ -1,63 +1,129 @@
 ans
-012487
-真
 
-012488
-$[0,1]$
+012613
+$\{2,4\}$
 
-012489
-$6$
+012614
+$(1,2)$
 
-012490
-$\dfrac\pi 6$或$\dfrac{5\pi}6$
+012615
+$\dfrac{\sqrt{2}}2$
 
-012491
-$2$
+012616
+$3$
 
-012492
-$(3,0)$
+012617
+$3$
 
-012493
-$12$
+012618
+\textcircled{1}\textcircled{4}
 
-012494
-$\dfrac 54$或$\dfrac 53$
+012619
+$180$
 
-012495
-$4+2\sqrt{3}$
+012620
+$4$
 
-012496
-$243$
+012621
+$\dfrac 52$
 
-012497
-$2018$
+012622
+$\dfrac\pi 4$
 
-012498
-$(-\dfrac 34,0)$
+012623
+$\dfrac{8\sqrt{2}\pi}3$
 
-012499
-C
+012624
+$\dfrac{8\sqrt{3}}3$
 
-012500
-D
-
-012501
+012625
 A
 
-012502
-B
+012626
+C
 
-012503
-(1) $\dfrac{2\pi}3$; (2) $\sqrt{3}$
+012627
+D
 
-012504
-(1) $4\sqrt{2}\pi$; (2) 证明略, 角的大小为$\arccos\dfrac{7\sqrt{5}}{20}$
+012628
+C
 
-012505
-(1) $1965$万元; (2) $22.5$万台; (3) 产量均为$30$万台, 利润分别为$840$万元与$860$万元
+012629
+(1) $b_n=3^{n-1}$; (2) $-8$
 
-012506
-(1) $2\sqrt{2}+2$; (2) $\pm \dfrac{\sqrt{14}}2$; (3) $\sqrt{2}$或$\sqrt{3}$或$\sqrt{\dfrac{1+\sqrt{17}}2}$
+012630
+(1) $\dfrac \pi 4$; (2) $1$
+
+012631
+(1) 证明略; (2) 证明略; (3) $\dfrac\pi 4$
+
+012632
+(1) $\sqrt{2}$; (2) $y=x+1$; (3) 过定点$(-3,0)$和$(1,0)$
+
+012633
+(1) $y=x-1$; (2) 单调减区间为$(\dfrac 12 1)$; 极小值为$-2$; (3) 证明略
+
+012571
+$\{1\}$
+
+012572
+$-1$
+
+012573
+$\dfrac\pi 6$
+
+012574
+$2$
+
+012575
+$16\pi$
+
+012576
+$2800$, $31$
+
+012577
+$2$
+
+012578
+$(-\infty,1)\cup (1,3]$
+
+012579
+$5$
+
+012580
+$[\dfrac 32,2]$
+
+012581
+$(\dfrac 72,0,\dfrac 72)$
+
+012582
+$\dfrac{\sqrt{3}}{20}v$
+
+012583
+A
+
+012584
+D
+
+012585
+C
+
+012586
+C
+
+012587
+(1) 证明略; (2) $\dfrac{3\sqrt{22}}{11}$
+
+012588
+(1) $\dfrac 12$; (2) $a_n=\dfrac{18}{2n+1}$
+
+012589
+(1) 例如: 非通勤时段的车辆使用情况; 油价和电价的变化; 工作单位能否提供免费充电; 电动车的国家减免政策的变化; 车辆的外观、内饰与品牌效应; 车牌费用等; (2) 解答略
+
+
+012590
+(1) $\dfrac{x^2}4+\dfrac{y^2}3=1$($y\le 0$); (2) $P(-\dfrac 32,\dfrac{\sqrt{3}}2)$, $Q(\dfrac 32, \dfrac{\sqrt{3}}2)$; (3) $[\sqrt{3}-1,\sqrt{2}+1]$
+
+012591
+(1) 导数为$y'=\dfrac{1-\ln x}{x^2}$, 单调性证明略; (2) 判断$89^{99}>99^{89}$, 证明略, 推广可以是:``对于实数$a,b$, 若$\mathrm{e}<a<b$, 则$a^b>b^a$; (3) 证明略
 
-012507
-(1) $[-\dfrac{\sqrt[3]{2}}2,+\infty)$; (2) $(-2,-1)$; (3) $a=-2$
\ No newline at end of file
diff --git a/工具/题号选题pdf生成.ipynb b/工具/题号选题pdf生成.ipynb
index 2da5e0e3..5251d936 100644
--- a/工具/题号选题pdf生成.ipynb
+++ b/工具/题号选题pdf生成.ipynb
@@ -9,9 +9,9 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "开始编译教师版本pdf文件:  临时文件/宝山一模草稿_教师用_20221217.tex\n",
+      "开始编译教师版本pdf文件:  临时文件/2019余_教师用_20221218.tex\n",
       "0\n",
-      "开始编译学生版本pdf文件:  临时文件/宝山一模草稿_学生用_20221217.tex\n",
+      "开始编译学生版本pdf文件:  临时文件/2019余_学生用_20221218.tex\n",
       "0\n"
      ]
     }
@@ -26,14 +26,14 @@
     "\"\"\"---设置题目列表---\"\"\"\n",
     "#留空为编译全题库, a为读取临时文件中的题号筛选.txt文件生成题库\n",
     "problems = r\"\"\"\n",
-    "012655,012656,012657,012658,012659,012660,012661,012662,012663,012664,012665,012666,012667,012668,012669,012670,012671,012672,012673,012674,012675\n",
+    "012204,012206,012221,012222,012223\n",
     "\n",
     "\"\"\"\n",
     "\"\"\"---设置题目列表结束---\"\"\"\n",
     "\n",
     "\"\"\"---设置文件名---\"\"\"\n",
     "#目录和文件的分隔务必用/\n",
-    "filename = \"临时文件/宝山一模草稿\"\n",
+    "filename = \"临时文件/2019余\"\n",
     "\"\"\"---设置文件名结束---\"\"\"\n",
     "\n",
     "\n",
diff --git a/题库0.3/Problems.json b/题库0.3/Problems.json
index e6918adf..cac93a62 100644
--- a/题库0.3/Problems.json
+++ b/题库0.3/Problems.json
@@ -301357,7 +301357,7 @@
             "第一单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$\\{1,2,3,4\\}$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -301378,7 +301378,7 @@
             "第一单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$(-2,4)$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -301399,7 +301399,7 @@
             "第五单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$2-3\\mathrm{i}$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -301420,7 +301420,7 @@
             "第三单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$-\\dfrac 13$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -301441,7 +301441,7 @@
             "第一单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$4$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -301462,7 +301462,7 @@
             "第四单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$10$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -301483,7 +301483,7 @@
             "第七单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$2$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -301504,7 +301504,7 @@
             "第四单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$\\dfrac 32$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -301525,7 +301525,7 @@
             "第八单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$160$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -301546,7 +301546,7 @@
             "第七单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$6$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -301567,7 +301567,7 @@
             "第八单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$48$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -301588,7 +301588,7 @@
             "第二单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$(0,1)$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -301609,7 +301609,7 @@
             "第二单元"
         ],
         "genre": "选择题",
-        "ans": "",
+        "ans": "B",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -301630,7 +301630,7 @@
             "第一单元"
         ],
         "genre": "选择题",
-        "ans": "",
+        "ans": "C",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -301651,7 +301651,7 @@
             "第六单元"
         ],
         "genre": "选择题",
-        "ans": "",
+        "ans": "A",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -301672,7 +301672,7 @@
             "第五单元"
         ],
         "genre": "选择题",
-        "ans": "",
+        "ans": "B",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -301693,7 +301693,7 @@
             "第六单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1) $4$; (2) $\\arctan \\dfrac{2\\sqrt{2}}3$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -301714,7 +301714,7 @@
             "第二单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1) $a=-1$; (2) $[0,2]$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -301736,7 +301736,7 @@
             "第二单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1) $r_1\\approx 34.6$米, $r_2\\approx 16.1$米; (2) $M_1$的半径为$30$米, $M_2$的半径为$20$米时, 总造价最低, 此时总造价约为$263.9$千元",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -301757,7 +301757,7 @@
             "第七单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1) $y=\\sqrt{3}x$与$y=-\\sqrt{3} x$; (2) $\\pm \\dfrac 12$; (3) $n=-\\dfrac{b^2}2$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -301780,7 +301780,7 @@
             "第四单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1) 解集为$\\{\\dfrac 13\\}$; (2) 证明略; (3) $(-1,\\dfrac 13]$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -302282,7 +302282,7 @@
             "第四单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$2$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -302337,7 +302337,7 @@
             "第二单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$y=\\sqrt{x}$, $x>0$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -302835,7 +302835,7 @@
             "第二单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1) 个人现金支出占比逐渐减少, 社会支出占比逐渐增多; (2) 严格增函数, $t=51$, $2028$年首次超过$12$万亿",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -302857,7 +302857,7 @@
             "第七单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1) $\\dfrac 83$; (2) $a=2$, 证明略; (3) $d(P_1)+d(P_3)>2d(P_2)$, 理由略",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -302882,7 +302882,7 @@
             "第四单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1) $S=\\{-\\dfrac{\\sqrt{3}}2,0,\\dfrac{\\sqrt{3}}2\\}$; (2) $d=\\dfrac{2\\pi}3$或$d=\\pi$; (3) $T=3,4,5$或$6$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -302903,7 +302903,7 @@
             "第一单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$3$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -302924,7 +302924,7 @@
             "第一单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$(0,\\dfrac 13)$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -302945,7 +302945,7 @@
             "第三单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$\\dfrac\\pi 2$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -302966,7 +302966,7 @@
             "第五单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$2$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -302987,7 +302987,7 @@
             "第三单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$\\arccos \\dfrac 13$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -303008,7 +303008,7 @@
             "第二单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$1$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -303029,7 +303029,7 @@
             "第七单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$\\sqrt{2}$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -303050,7 +303050,7 @@
             "第八单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$10$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -303071,7 +303071,7 @@
             "第三单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$\\dfrac 54$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -303092,7 +303092,7 @@
             "第八单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$18$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -303113,7 +303113,7 @@
             "第五单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$\\dfrac{\\sqrt{6}}3$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -303134,7 +303134,7 @@
             "第二单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$[\\dfrac 34,+\\infty)$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -303155,7 +303155,7 @@
             "第四单元"
         ],
         "genre": "选择题",
-        "ans": "",
+        "ans": "D",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -303176,7 +303176,7 @@
             "第三单元"
         ],
         "genre": "选择题",
-        "ans": "",
+        "ans": "A",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -303197,7 +303197,7 @@
             "第七单元"
         ],
         "genre": "选择题",
-        "ans": "",
+        "ans": "B",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -303219,7 +303219,7 @@
             "第四单元"
         ],
         "genre": "选择题",
-        "ans": "",
+        "ans": "B",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -303240,7 +303240,7 @@
             "第六单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1) $12$; (2) $3\\sqrt{2}$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -303261,7 +303261,7 @@
             "第四单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1) $a_n=\\dfrac 43n-\\dfrac 13$; (2) $n$的最小值为$7$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -303282,7 +303282,7 @@
             "第二单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1) $f_{60}(x)=\\begin{cases}|60-x|, & 0\\le x\\le 90,\\\\ |120-x|, & 90<x\\le 120;\\end{cases}$ (2) 垃圾投放点$\\omega_2$建在$(20,0)$和$(60,0)$之间时, 比建在中点时更加便利",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -303303,7 +303303,7 @@
             "第七单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1) $\\dfrac 94$; (2) 证明略; (3) 存在, $t=1$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -303324,7 +303324,7 @@
             "第二单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1) $f(x)=-x$具有$A$性质, $g(x)=2x$不具有$A$性质, 理由略; (2) $[1,+\\infty)$; (3) 全体正奇数, 理由略",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -303346,7 +303346,7 @@
             "第四单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$21$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -303367,7 +303367,7 @@
             "第五单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$\\sqrt{5}$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -303388,7 +303388,7 @@
             "第六单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$4\\pi$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -303409,7 +303409,7 @@
             "第一单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$(-7,2)$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -303430,7 +303430,7 @@
             "第七单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$\\dfrac \\pi 6$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -303451,7 +303451,7 @@
             "第一单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$0$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -303472,7 +303472,7 @@
             "第八单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$64$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -303493,7 +303493,7 @@
             "第二单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$9$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -303514,7 +303514,7 @@
             "第四单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$(-4,0)\\cup(0,4)$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -303535,7 +303535,7 @@
             "第八单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$23$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -303556,7 +303556,7 @@
             "第七单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$x=1-\\sqrt{2}$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -303577,7 +303577,7 @@
             "第三单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$\\dfrac{2\\pi}5$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -303599,7 +303599,7 @@
             "第三单元"
         ],
         "genre": "选择题",
-        "ans": "",
+        "ans": "C",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -303620,7 +303620,7 @@
             "第一单元"
         ],
         "genre": "选择题",
-        "ans": "",
+        "ans": "D",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -303641,7 +303641,7 @@
             "第二单元"
         ],
         "genre": "选择题",
-        "ans": "",
+        "ans": "C",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -303662,7 +303662,7 @@
             "第五单元"
         ],
         "genre": "选择题",
-        "ans": "",
+        "ans": "B",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -303683,7 +303683,7 @@
             "第六单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1) $\\dfrac{32\\sqrt{3}}3$; (2) $\\arctan \\dfrac{\\sqrt{5}}2$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -303704,7 +303704,7 @@
             "第三单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1) $b=1$, $c=\\sqrt{6}$; (2) $\\dfrac{5\\sqrt{30}}2$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -303725,7 +303725,7 @@
             "第七单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1) 双曲线的标准方程为$\\dfrac{x^2}{100}-\\dfrac{y^2}{300}=1$, $P$的坐标为$(\\dfrac{\\sqrt{15\\sqrt{2}}}2, \\dfrac{5\\sqrt{6}}2)$; (2) $|OQ|\\approx 19$米, $Q$点的位置再$O$点北偏东约$66^\\circ$方向",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -303746,7 +303746,7 @@
             "第二单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1) $(-\\infty,-2]\\cup [0,+\\infty)$; (2) $(0,\\dfrac 14)$; (3) 存在, $a$的取值范围为$(-\\infty,-\\dfrac 14]$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -303767,7 +303767,7 @@
             "第四单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1) $a_3=1$; (2) 证明略, 公比为$\\dfrac 14$; (3) $\\dfrac{21}{64}$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -303790,7 +303790,7 @@
             "第五单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$2-\\mathrm{i}$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -303811,7 +303811,7 @@
             "第一单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$(1,2)$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -303832,7 +303832,7 @@
             "第二单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$(0,1)$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -303853,7 +303853,7 @@
             "第三单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$-2$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -303874,7 +303874,7 @@
             "第二单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$4$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -303895,7 +303895,7 @@
             "第八单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$3$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -303916,7 +303916,7 @@
             "第一单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$66$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -303937,7 +303937,7 @@
             "第三单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$\\dfrac{\\sqrt{21}}3$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -303958,7 +303958,7 @@
             "第八单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$17$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -303979,7 +303979,7 @@
             "第五单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$\\dfrac 78$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -304000,7 +304000,7 @@
             "第七单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$[1,+\\infty)$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -304021,7 +304021,7 @@
             "第二单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$2$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -304042,7 +304042,7 @@
             "第二单元"
         ],
         "genre": "选择题",
-        "ans": "",
+        "ans": "C",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -304063,7 +304063,7 @@
             "第一单元"
         ],
         "genre": "选择题",
-        "ans": "",
+        "ans": "B",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -304084,7 +304084,7 @@
             "第六单元"
         ],
         "genre": "选择题",
-        "ans": "",
+        "ans": "B",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -304105,7 +304105,7 @@
             "第四单元"
         ],
         "genre": "选择题",
-        "ans": "",
+        "ans": "D",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -304126,7 +304126,7 @@
             "第六单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1) $\\arctan 2$; (2) 体积为$2\\pi$, 侧面积为$4\\pi$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -304147,7 +304147,7 @@
             "第四单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1) $4$; (2) $(-\\infty,1]$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -304168,7 +304168,7 @@
             "第三单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1) 约$23.3\\text{m}$; (2) 当$AE$的长约为$8.7\\text{m}$时, 绿地保护生态区的面积最大, 最大面积为$255.14\\text{m}^2$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -304189,7 +304189,7 @@
             "第七单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1) $\\dfrac{x^2}4+y^2=1$; (2) 交点在椭圆上, 理由略; (3) $|CD|$的最小值为$6$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -304210,7 +304210,7 @@
             "第二单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1) 解集为$\\{2\\}$; (2) 解集为$(-\\infty,(1-\\sqrt{2})t]\\cup [(1+\\sqrt{2})t,+\\infty)$; (3) 证明略",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -309768,7 +309768,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$\\{1,2\\}$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -309787,7 +309787,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$1-\\mathrm{i}$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -309806,7 +309806,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$3$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -309825,7 +309825,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$4\\sqrt{2}$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -309844,7 +309844,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$10$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -309863,7 +309863,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$\\dfrac 16$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -309882,7 +309882,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "如$AC\\perp BD$, 或以$ABCD$为底面的正四棱锥等",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -309901,7 +309901,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$1$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -309920,7 +309920,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$(-\\dfrac 14,+\\infty)$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -309939,7 +309939,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$\\sqrt{2}$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -309958,7 +309958,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$\\dfrac{5\\pi}{12}$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -309977,7 +309977,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$[2,2\\sqrt{2}]$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -309996,7 +309996,7 @@
         "objs": [],
         "tags": [],
         "genre": "选择题",
-        "ans": "",
+        "ans": "C",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -310015,7 +310015,7 @@
         "objs": [],
         "tags": [],
         "genre": "选择题",
-        "ans": "",
+        "ans": "A",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -310034,7 +310034,7 @@
         "objs": [],
         "tags": [],
         "genre": "选择题",
-        "ans": "",
+        "ans": "B",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -310053,7 +310053,7 @@
         "objs": [],
         "tags": [],
         "genre": "选择题",
-        "ans": "",
+        "ans": "A",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -310072,7 +310072,7 @@
         "objs": [],
         "tags": [],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1) $a_n=27-2n$; (2) $169$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -310091,7 +310091,7 @@
         "objs": [],
         "tags": [],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1) $\\dfrac 32$; (2) 存在, $\\angle BOD=\\dfrac \\pi 6$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -310110,7 +310110,7 @@
         "objs": [],
         "tags": [],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1) $19.5$; (2) $\\dfrac{911}{920}$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -310129,7 +310129,7 @@
         "objs": [],
         "tags": [],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1) $x+2y-2=0$; (2) 证明略; (3) 存在, 直线方程为$y=\\dfrac 12$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -310148,7 +310148,7 @@
         "objs": [],
         "tags": [],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1) 都具有$C$关系, 理由略; (2) $(-\\infty,2\\sqrt{2})$; (3) $(-\\infty,-1)$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -310167,7 +310167,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$\\{1\\}$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -310186,7 +310186,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$-1$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -310205,7 +310205,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$\\dfrac\\pi 6$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -310224,7 +310224,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$2$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -310243,7 +310243,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$16\\pi$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -310262,7 +310262,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$2800$, $31$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -310282,7 +310282,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$2$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -310301,7 +310301,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$(-\\infty,1)\\cup (1,3]$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -310320,7 +310320,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$5$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -310339,7 +310339,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$[\\dfrac 32,2]$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -310358,7 +310358,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$(\\dfrac 72,0,\\dfrac 72)$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -310377,7 +310377,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$\\dfrac{\\sqrt{3}}{20}v$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -310396,7 +310396,7 @@
         "objs": [],
         "tags": [],
         "genre": "选择题",
-        "ans": "",
+        "ans": "A",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -310415,7 +310415,7 @@
         "objs": [],
         "tags": [],
         "genre": "选择题",
-        "ans": "",
+        "ans": "D",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -310434,7 +310434,7 @@
         "objs": [],
         "tags": [],
         "genre": "选择题",
-        "ans": "",
+        "ans": "C",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -310453,7 +310453,7 @@
         "objs": [],
         "tags": [],
         "genre": "选择题",
-        "ans": "",
+        "ans": "C",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -310473,7 +310473,7 @@
         "objs": [],
         "tags": [],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1) 证明略; (2) $\\dfrac{3\\sqrt{22}}{11}$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -310492,7 +310492,7 @@
         "objs": [],
         "tags": [],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1) $\\dfrac 12$; (2) $a_n=\\dfrac{18}{2n+1}$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -310511,7 +310511,7 @@
         "objs": [],
         "tags": [],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1) 例如: 非通勤时段的车辆使用情况; 油价和电价的变化; 工作单位能否提供免费充电; 电动车的国家减免政策的变化; 车辆的外观、内饰与品牌效应; 车牌费用等; (2) 解答略",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -310530,7 +310530,7 @@
         "objs": [],
         "tags": [],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1) $\\dfrac{x^2}4+\\dfrac{y^2}3=1$($y\\le 0$); (2) $P(-\\dfrac 32,\\dfrac{\\sqrt{3}}2)$, $Q(\\dfrac 32, \\dfrac{\\sqrt{3}}2)$; (3) $[\\sqrt{3}-1,\\sqrt{2}+1]$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -310549,7 +310549,7 @@
         "objs": [],
         "tags": [],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1) 导数为$y'=\\dfrac{1-\\ln x}{x^2}$, 单调性证明略; (2) 判断$89^{99}>99^{89}$, 证明略, 推广可以是:``对于实数$a,b$, 若$\\mathrm{e}<a<b$, 则$a^b>b^a$; (3) 证明略",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -310967,7 +310967,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$\\{2,4\\}$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -310986,7 +310986,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$(1,2)$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -311005,7 +311005,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$\\dfrac{\\sqrt{2}}2$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -311024,7 +311024,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$3$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -311043,7 +311043,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$3$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -311062,7 +311062,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "\\textcircled{1}\\textcircled{4}",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -311082,7 +311082,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$180$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -311101,7 +311101,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$4$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -311120,7 +311120,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$\\dfrac 52$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -311139,7 +311139,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$\\dfrac\\pi 4$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -311158,7 +311158,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$\\dfrac{8\\sqrt{2}\\pi}3$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -311177,7 +311177,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$\\dfrac{8\\sqrt{3}}3$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -311196,7 +311196,7 @@
         "objs": [],
         "tags": [],
         "genre": "选择题",
-        "ans": "",
+        "ans": "A",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -311215,7 +311215,7 @@
         "objs": [],
         "tags": [],
         "genre": "选择题",
-        "ans": "",
+        "ans": "C",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -311235,7 +311235,7 @@
         "objs": [],
         "tags": [],
         "genre": "选择题",
-        "ans": "",
+        "ans": "D",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -311254,7 +311254,7 @@
         "objs": [],
         "tags": [],
         "genre": "选择题",
-        "ans": "",
+        "ans": "C",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -311273,7 +311273,7 @@
         "objs": [],
         "tags": [],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1) $b_n=3^{n-1}$; (2) $-8$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -311292,7 +311292,7 @@
         "objs": [],
         "tags": [],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1) $\\dfrac \\pi 4$; (2) $1$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -311311,7 +311311,7 @@
         "objs": [],
         "tags": [],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1) 证明略; (2) 证明略; (3) $\\dfrac\\pi 4$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -311330,7 +311330,7 @@
         "objs": [],
         "tags": [],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1) $\\sqrt{2}$; (2) $y=x+1$; (3) 过定点$(-3,0)$和$(1,0)$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -311349,7 +311349,7 @@
         "objs": [],
         "tags": [],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1) $y=x-1$; (2) 单调减区间为$(\\dfrac 12 1)$; 极小值为$-2$; (3) 证明略",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -331835,7 +331835,7 @@
             "第四单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1) $a_3=1$; (2) 证明略, 公比为$\\dfrac 14$",
         "solution": "",
         "duration": -1,
         "usages": [],